λ
Ratio Atlas

21,396,476

22 × 1759 × 3041
Deficient Even Composite

21,396,476 factors as 2^2 × 1759 × 3041. Its 12 positive divisors give a proper-divisor sum of 16,080,964, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 1759 × 3041
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 37,477,440
Proper Divisor Sum 16,080,964
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #21396449 ← → #21396481

Radix Representation

Decimal 21396476
Binary 1010001100111101111111100 (25 bits)
Octal 0o121475774
Hexadecimal 0x1467BFC

Divisor Catalog (12)

Collatz Trajectory (159 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

21,396,476 10,698,238 5,349,119 16,047,358 8,023,679 24,071,038 12,035,519 36,106,558 18,053,279 54,159,838 27,079,919 81,239,758 40,619,879 121,859,638 60,929,819 182,789,458 91,394,729 274,184,188 137,092,094 68,546,047 205,638,142 102,819,071 308,457,214 154,228,607 462,685,822 231,342,911 694,028,734 347,014,367 1,041,043,102 520,521,551 1,561,564,654 780,782,327 2,342,346,982 1,171,173,491 3,513,520,474 1,756,760,237 5,270,280,712 2,635,140,356 1,317,570,178 658,785,089 1,976,355,268 988,177,634 494,088,817 1,482,266,452 741,133,226 370,566,613 1,111,699,840 555,849,920 277,924,960 138,962,480 69,481,240 34,740,620 17,370,310 8,685,155 26,055,466 13,027,733 39,083,200 19,541,600 9,770,800 4,885,400

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